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Finding the Third Proportional to 70,122 and 154,268

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Solution

The third proportional to 70,122 and 154,268 is: 339,388.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,122 : 154,268 = 154,268 : x
  2. Step 2: Convert to fraction form
    70,122/154,268 = 154,268/x
  3. Step 3: Cross multiply
    70,122x = 154,268 × 154,268
  4. Step 4: Simplify right side
    70,122x = 23,798,615,824
  5. Step 5: Solve for x
    x = 23,798,615,824/70,122
  6. Step 6: Final answer
    x = 339,388.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.